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Stability of the Spinor Flow

Published 28 Jun 2017 in math.DG | (1706.09292v1)

Abstract: We show stability of pairs of Ricci flat metrics and parallel spinor fields with respect to the spinor flow, i.e. we show that the spinor flow with initial conditions near such pairs converges to a critical point with exponential speed. Moreover, we show stability of certain volume constrained critical points of the spinorial energy.

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